If the expression 410 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)Responses(45)2left parenthesis 4 superscript 5 baseline right parenthesis squared(42)8left parenthesis 4 squared right parenthesis superscript 8 baseline(412)2left parenthesis 4 superscript 12 baseline right parenthesis squared4⋅4⋅4⋅4⋅4⋅4⋅4

Answer 1

To simplify the expression \( 4^{10} \) using the Power Rule of Exponents and to find an equivalent expanded expression, we can rewrite it as follows:

The number \( 4^{10} \) represents 4 being multiplied by itself 10 times. Therefore, the expanded form of \( 4^{10} \) is:

\[ 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \]

Among the options provided, this is represented in the last response option:

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4.

Thus, the equivalent expanded expression for \( 4^{10} \) is:

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4.